# Is a^2+14a+49 a perfect square trinomial, and how do you factor it?

Mar 14, 2018

Yes it is a perfect square trinomial.

Factorscolor(magenta)(=(a+7)^2

#### Explanation:

${a}^{2} + 14 a + 49$

$= {a}^{2} + \left(2 \times 7 \times a\right) + {7}^{2}$

Identity color(red)(=a^2+2ab+b^2=(a+b)^2

color(magenta)(=(a+7)^2

~Hope this helps! :)